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5907290112 = 21132536047
BaseRepresentation
bin1011000000001101…
…00001100000000000
3120020200121102121200
411200012201200000
544044231240422
62414101421200
7266250065103
oct54006414000
916220542550
105907290112
112561569549
12118a40a800
13731b08549
1440079873a
152489232ac
hex1601a1800

5907290112 has 144 divisors (see below), whose sum is σ = 17386125120. Its totient is φ = 1931624448.

The previous prime is 5907290087. The next prime is 5907290119. The reversal of 5907290112 is 2110927095.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5907290119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 973873 + ... + 979919.

It is an arithmetic number, because the mean of its divisors is an integer number (120736980).

Almost surely, 25907290112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5907290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8693062560).

5907290112 is an abundant number, since it is smaller than the sum of its proper divisors (11478835008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5907290112 is a wasteful number, since it uses less digits than its factorization.

5907290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128 (or 6105 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 5907290112 is about 76858.8974159791. The cubic root of 5907290112 is about 1807.7128005971.

The spelling of 5907290112 in words is "five billion, nine hundred seven million, two hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1024 1152 1272 1536 1696 1908 2048 2304 2544 3072 3392 3816 4608 5088 6047 6144 6784 7632 9216 10176 12094 13568 15264 18141 18432 20352 24188 27136 30528 36282 40704 48376 54272 54423 61056 72564 81408 96752 108544 108846 122112 145128 162816 193504 217692 244224 290256 320491 325632 387008 435384 488448 580512 640982 774016 870768 961473 976896 1161024 1281964 1548032 1741536 1922946 2322048 2563928 2884419 3096064 3483072 3845892 4644096 5127856 5768838 6192128 6966144 7691784 9288192 10255712 11537676 12384256 13932288 15383568 18576384 20511424 23075352 27864576 30767136 37152768 41022848 46150704 55729152 61534272 82045696 92301408 111458304 123068544 164091392 184602816 246137088 328182784 369205632 492274176 656365568 738411264 984548352 1476822528 1969096704 2953645056 5907290112